AnswersHCISD-Mathematical Models with Applications B-CR SUMMEREquations of Proportional Relationships

Equations of Proportional Relationships Answers

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Joylin is writing an equation to model the proportional relationship between y, the total cost in dollars of downloading videos from a website, and x, the number of videos downloaded. She knows that the total cost to download 3 videos was $12. Her work to find the equation is shown below.Joylin’s WorkStep 1Step 2 Where did Joylin make her first error?

Question illustration
A
Joylin divided 3 and 12 instead of multiplying the two numbers.
B
Joylin computed the decimal equivalent of incorrectly.
Option B
C
Joylin used 0.25 as the coefficient of x instead of a product of x and y.
D
Joylin switched the numerator and the denominator when she found k.
2
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What is the constant of proportionality in the equation ?

Question illustration
A
StartFraction 2 over 9 EndFraction
Option A
B
2
C
StartFraction 9 over 2 EndFraction
Option C
D
9
3

Which table represents a proportional relationship that has a constant of proportionality equal to 0.8?

A
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 4, 8, 10. Column 2 is labeled y with entries 0, 0.5, 1, 1.25.
Option A
B
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 5, 10, 12.5. Column 2 is labeled y with entries 0, 4, 8, 10.
Option B
C
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 4, 8, 10. Column 2 is labeled y with entries 0.8, 0.8, 0.8, 0.8.
Option C
D
A 2-column table with 4 rows. Column 1 is labeled x with entries 0, 5, 10, 12.5. Column 2 is labeled y with entries 0.8, 10.8, 20.8, 25.8.
Option D
4

Peter uses the equation to model the number of miles that he has walked in x hours. Which statement is true about the proportional relationship that is modeled by Peter’s equation?

Question illustration
A
Peter walks at a rate of miles per hour.
Option A
B
Peter walks at a rate of 4 miles per hour.
C
Peter walks at a rate of miles per hour.
Option C
D
Peter walks at a rate of 13 miles per hour.
5

Which equation represents the relation that is shown in the graph?Cost of Buying Comic Books

Question illustration
A
y = x + StartFraction 2 over 7 EndFraction
Option A
B
y = x + StartFraction 7 over 2 EndFraction
Option B
C
y = StartFraction 2 over 7 EndFraction x
Option C
D
y = StartFraction 7 over 2 EndFraction x
Option D
6

What is the constant of proportionality in the equation?

Question illustration
A
0
B
1
C
4
D
5
7

Jason has applied to be a camp counselor for the summer. The job pays $9 per hour. The equation to represent Jason’s job is y = 9x, where x is the number of hours he works and y is the total amount he earns. Mia has applied to be a lifeguard for the summer. The lifeguard job is three days a week with hours and pay as shown in the table below. TuesdayThursdaySaturdayHours worked685Amount paid$52.50$70.00$43.75Which statement best describes the hourly rates?

A
The two jobs pay the same hourly rate.
B
The comparison cannot be made with the information given.
C
Jason’s camp counselor job pays a higher hourly rate than Mia’s lifeguard job.
D
Jason’s camp counselor job pays a lower hourly rate than Mia’s lifeguard job.

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